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Australian AMC 2016 - Intermediate Question 30

AMC AUSTRALIA · Australian AMC 2016 - Intermediate

Question 30

Around a circle, I place 64 equally spaced points, so that there are $64\times63\div2=2016$ possible chords between these points.

I draw some of these chords, but each chord cannot cut across more than one other chord.

What is the maximum number of chords I can draw?

Question illustration